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Finding the Third Proportional to 14.03 and 30.59

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Solution

The third proportional to 14.03 and 30.59 is: 66.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.03 : 30.59 = 30.59 : x
  2. Step 2: Convert to fraction form
    14.03/30.59 = 30.59/x
  3. Step 3: Cross multiply
    14.03x = 30.59 × 30.59
  4. Step 4: Simplify right side
    14.03x = 935.98
  5. Step 5: Solve for x
    x = 935.98/14.03
  6. Step 6: Final answer
    x = 66.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.